Finding the Fourth Proportional to 11,654.67, 16,078.33 and 7,876.46

Step by Step Solution

1. Step 1: Write the proportion equation
   11,654.67 : 16,078.33 = 7,876.46 : x
2. Step 2: Convert to fraction form
   11,654.67/16,078.33 = 7,876.46/x
3. Step 3: Cross multiply
   11,654.67x = 16,078.33 × 7,876.46
4. Step 4: Simplify right side
   11,654.67x = 126,640,323.11
5. Step 5: Solve for x
   x = 126,640,323.11/11,654.67
6. Step 6: Final answer
   x = 10,866.06